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Finding the Third Proportional to 139,162 and 298,000

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Solution

The third proportional to 139,162 and 298,000 is: 638,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,162 : 298,000 = 298,000 : x
  2. Step 2: Convert to fraction form
    139,162/298,000 = 298,000/x
  3. Step 3: Cross multiply
    139,162x = 298,000 × 298,000
  4. Step 4: Simplify right side
    139,162x = 88,804,000,000
  5. Step 5: Solve for x
    x = 88,804,000,000/139,162
  6. Step 6: Final answer
    x = 638,133.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.